Question
upstudy study bank question image url

Use the distributive property to remove the parenthes \( (x-11) 5 \)

Ask by Schmidt Wagner. in the United States
Feb 07,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

\( 5x - 55 \)

Solution

To remove the parentheses in the expression \( (x - 11) \times 5 \) using the **distributive property**, follow these steps: ### **Distributive Property Overview** The distributive property states that: \[ a \times (b + c) = a \times b + a \times c \] This property allows you to multiply a single term by each term inside the parentheses. ### **Applying the Distributive Property** Given the expression: \[ (x - 11) \times 5 \] Here, \( a = 5 \), \( b = x \), and \( c = -11 \). Apply the distributive property as follows: \[ 5 \times (x) + 5 \times (-11) \] ### **Calculate Each Part** 1. **Multiply 5 by \( x \):** \[ 5 \times x = 5x \] 2. **Multiply 5 by \(-11\):** \[ 5 \times (-11) = -55 \] ### **Combine the Results** \[ 5x - 55 \] ### **Final Answer** \[ 5x - 55 \] This is the simplified form of the original expression without parentheses.

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

The Deep Dive

To apply the distributive property, you simply multiply each term inside the parentheses by the number outside. In this case, you would take \(5\) and multiply it by both \(x\) and \(-11\). This gives you: \( (x - 11) 5 = 5x - 55 \) So, the expression \( (x - 11) 5 \) simplifies to \( 5x - 55 \). Need a quick tip? Always remember that the distributive property can also be expressed using the formula \(a(b+c) = ab + ac\). Just think of it as giving every term a friendly nudge from the number outside—no term left behind!

Related Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy